The microlayer framework: extension to aggregates with non-uniform shapes

Abstract

The microlayer framework is a novel, powerful method for the numerical simulation of heterogeneous materials, such as aggregate-matrix composites across different scales. While the framework has previously only been applied to geometrically isotropic aggregates, its mathematical formulation also enables the development of material models for aggregate-matrix composites with pronounced spatial directionality, an inherent characteristic of many materials in this class. In this work, a stepwise approach is adopted: first, simplified, non-uniformed shaped representative volume elements (RVEs) are studied to investigate their macroscopic behavior. Based on the limitations identified in this initial formulation, a refined RVE is then developed that satisfies both mathematical consistency and mechanical plausibility.